Alkyl Ketene Dimer (AKD) sizing – a review
Alkyl Ketene Dimer (AKD) sizing – a review
Alkyl Ketene Dimer (AKD) sizing – a review
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<strong>Alkyl</strong> <strong>Ketene</strong> <strong>Dimer</strong> (<strong>AKD</strong>) <strong>sizing</strong> <strong>–</strong> a <strong>review</strong><br />
Tom Lindström and Per Tomas Larsson, STFI-Packforsk AB, Stockholm, Sweden<br />
KEYWORDS: <strong>Alkyl</strong> ketene dimer, Internal <strong>sizing</strong>,<br />
Hydrophobicity, Retention, Spreading Reaction, Mechanisms,<br />
Paper, Board, Manufacture, Review<br />
SUMMARY: Over the years, there have been great efforts to<br />
try to develop cellulose reactive <strong>sizing</strong> agents. The assumption<br />
in these developments have been that the covalent linkage<br />
allows permanent attachment of hydrophobic groups in a highly<br />
oriented state, which makes <strong>sizing</strong> possible at very low levels of<br />
added chemical. The main requirement of the molecule is that it<br />
should have a balance between the reactivity towards water,<br />
because of the necessity of making stable emulsions or dispersions,<br />
and its reactivity towards cellulose. These assumptions<br />
are to some extent mutually exclusive and a compromise must<br />
be sought. Although, many different types have been tried out<br />
over the years the most important sizes used are the <strong>Alkyl</strong><br />
<strong>Ketene</strong> <strong>Dimer</strong>s (<strong>AKD</strong>) and the Alkenyl Succinic Anhydrides<br />
(ASA). These <strong>sizing</strong> agents are at the opposite in terms of stability<br />
of hydrolysis and reactivity towards cellulose, where <strong>AKD</strong>s<br />
are the least reactive species and fairly stable towards hydrolysis,<br />
whereas ASAs are very reactive towards cellulose, but also<br />
sensitive to hydrolysis. The mechanism of action is fairly well<br />
known for <strong>AKD</strong>, but less known for ASA and <strong>AKD</strong>-<strong>sizing</strong> can<br />
be regarded as a pretty mature field from a scientific point of<br />
view. The aim of this contribution is to summarize the fundamental<br />
features of <strong>AKD</strong>-<strong>sizing</strong> and discuss and highlight the<br />
most important aspects for the practical papermaker.<br />
Over the years there have been many <strong>review</strong>s (e.g. (Dumas<br />
1975; Reynolds 1989; Eklund and Lindström 1991; Hodgson<br />
1994; Roberts 1997; Hubbe 2006)) in the field of <strong>AKD</strong>-<strong>sizing</strong>,<br />
but there have been extensive recent research activities over the<br />
past 10 years and there is a need for a comprehension of these<br />
research activities.<br />
ADDRESS OF THE AUTHORS: Tom Lindström<br />
(tom.lindstrom@stfi.se) and Per Tomas Larsson<br />
(tomas.larsson@stfi.se): STFI-Packforsk AB, Box 5604,<br />
SE-114 86 Stockholm, Sweden.<br />
Corresponding author: Tom Lindström<br />
Basic Chemical Features of <strong>AKD</strong><br />
<strong>Alkyl</strong> ketene dimers were the results of direct development<br />
efforts in the late 40´s (Downey 1949). These<br />
investigations demonstrated that the parent molecule, the<br />
diketene could derivatize hydroxyl groups and in particular<br />
those of cellulose. The strained lactone ring in<br />
ketene dimers can react both with cellulose and water<br />
forming either the β-keto ester or the β-keto acid, which<br />
spontaneously decarboxylates to the corresponding ketone<br />
as shown in Fig 1. The ketone is incapable of reacting<br />
with cellulose. The balance of reaction with cellulose and<br />
hydrolysis is subtle, as with all reactive sizes, but the<br />
reaction is favoured and, hence, <strong>AKD</strong> can be used as a<br />
<strong>sizing</strong> agent under commercial papermaking conditions.<br />
The nucleophilic reaction with cellulose can also be accelerated<br />
with various so-called promoters, which will be<br />
discussed below.<br />
202 Nordic Pulp and Paper Research Journal Vol 23 no. 2/2008<br />
Fig 1. <strong>Alkyl</strong> ketene dimers can react either with cellulose forming the β-keto ester<br />
or with water forming the β-keto acid, which spontaneously decarboxylates forming<br />
the corresponding ketone.<br />
Commercial <strong>AKD</strong>s are prepared from long fatty acids via<br />
their acid chlorides, which then dimerize to the corresponding<br />
alkyl ketene dimer (Fig 2).<br />
Fig 2. Formation of alkyl ketene dimers from the corresponding fatty acid chlorides.<br />
The linear saturated <strong>AKD</strong>s are waxy substances, water<br />
insoluble solids with melting points around 50°C, being<br />
mixtures of C-14 to C-18 fatty acids when manufactured<br />
from commercially available fatty acids. C-16 is the predominant<br />
fatty acid in the most used formulations. The<br />
efficiency increases with carbon chain length from C-8<br />
and levels off at C-20 (Brungardt and Varnell 2005).<br />
It is also known that small amounts (usually less than<br />
10% (Hardell and Woodbury 2002) of <strong>AKD</strong>-oligomers<br />
are present in <strong>AKD</strong> (Bottorff 1993; Bottorff 1994;<br />
Asakura et al. 2006a) and that these oligomers give<br />
relatively poor <strong>sizing</strong>.<br />
Alkenylsubstituted <strong>AKD</strong>s (emulsions = liquid in liquid<br />
phase) are also commercially available and they have<br />
been found to give better runnability on high speed<br />
handling equipment than paper sized with suspensions<br />
(solid phase in a liquid phase) (Brungardt and Gast<br />
1996), but they are slightly inferior to alkyl ketene dimers<br />
(Isogai and Asakura 2001a, 2001b).<br />
Emulsification<br />
<strong>AKD</strong>s are dispersed using high-pressure homogenizers at<br />
elevated temperatures. The most frequently used<br />
stabilizers are cationic starches in conjunction with<br />
lignosulfonates/naphthalene sulfonic acids. Waxy maize<br />
starches with no propensity to retrogradation are the<br />
preferred choice of starch. Most commercially used<br />
dispersions (note: both emulsions and suspensions are dispersions)<br />
are therefore amphoteric (Isogai 1997b), which<br />
is important from a retention point of view (see below).
It is important to avoid surface active substances in the<br />
dispersion formulation, because they may interfere with<br />
<strong>sizing</strong> (see below). The dispersions are usually made<br />
slightly cationic in order for them to have a natural<br />
substantivity to negatively charged fibres, but anionic<br />
dispersions are also used in commercial practice. In order<br />
to avoid hydrolysis of the <strong>AKD</strong>, the pH is kept around 3<br />
in the formulations.<br />
There have been some recent studies on the stability of<br />
<strong>AKD</strong>-dispersions. It has been found that the stability<br />
increases by the presence of <strong>AKD</strong>-oligomers (Asakura et<br />
al. 2006a) and that fatty acid anhydrides (byproduct in<br />
the <strong>AKD</strong>-dispersion) decrease the heat shock stability<br />
(Asakura et al. 2006b). The effect of various colloidal<br />
substances present in process waters have also been investigated<br />
(Mattsson et al. 2001). <strong>AKD</strong> dispersions basically<br />
behave as electrostatically stabilized colloids.<br />
Consecutive events of <strong>AKD</strong>-<strong>sizing</strong><br />
The consecutive events in <strong>AKD</strong>-<strong>sizing</strong> are (Lindström<br />
and Söderberg 1986a):<br />
· Retaining the <strong>AKD</strong>-size using appropriate retention<br />
strategies for the size<br />
· Spreading/size migration to a monolayer<br />
· Chemical reaction of the size with the cellulosic fibres<br />
The retention mechanism is, in theory, heterocoagulation,<br />
where cationic size particles are attached to the negatively<br />
charged fibres. This is expected to give a good<br />
distribution of the dispersion particles, but practice shows<br />
that size distribution is not critical, because of extensive<br />
spreading on the fibre surfaces. More important is that<br />
effective retention aids must be used for the purpose.<br />
Heterocoagulation, cannot be used to retain <strong>AKD</strong>-particles<br />
under high fibre-fibre shear conditions. A high<br />
single pass retention is important, because recirculated<br />
size is hydrolyzed in the white water of a paper machine.<br />
When the size particles have been deposited on the<br />
fibres, the reaction with cellulose is insignificant because<br />
very few molecules are in molecular contact with cellulose.<br />
Because of the high surface tension of water, no spreading<br />
can take place until the water has been removed<br />
and the size particles are in direct contact with air.<br />
Hence, an air-<strong>AKD</strong> surface must be formed before<br />
spreading can take place and this takes place during<br />
drying at a solids content exceeding 60%. The spreading<br />
continues until a monomolecular layer has been formed.<br />
This layer then reacts with the hydroxyl groups of<br />
cellulose. The reaction is slow at low pH-values and, in<br />
practice; <strong>AKD</strong> cannot be used except in the neutral or<br />
slightly alkaline pH-range. Moreover, <strong>sizing</strong> accelerators<br />
(most commonly HCO -<br />
3) are almost always required for<br />
effective development of <strong>sizing</strong>.<br />
Retention of <strong>AKD</strong><br />
Cationic <strong>AKD</strong>-particles are theoretically retained by a<br />
heterocoagulation deposition mechanism onto the negatively<br />
charged fibres, but studies (Johansson and<br />
Lindström 2004b) have shown that the electrostatic<br />
attraction is screened by electrolyte concentrations<br />
commonly present in process waters, so retention aids<br />
must always be used in commercial practice. Secondly,<br />
the deposition is a highly dynamic process, where <strong>AKD</strong>particles<br />
are rapidly deposited, after which they are<br />
sheared off the fibre surfaces (Lindström and Söderberg<br />
1986c; Champ and Ettl 2004).<br />
The surface charge of fibres is important for the selfretention<br />
(retention of <strong>AKD</strong> without retention aid<br />
addition) of <strong>AKD</strong>, as self-retention is a heterocoagulation<br />
mechanism (Isogai et al. 1997; Lindström and Glad-<br />
Nordmark 2007a). There is an optimum surface charge<br />
density of fibres and an optimum electrolyte concentration<br />
for maximum <strong>AKD</strong>-retention (Lindström and Glad-<br />
Nordmark 2007a). These studies are, however, laboratory<br />
studies, and in commercial practice self-retention is most<br />
likely negligible due to high electrolyte concentrations<br />
and the high shear to which the fibre suspension is<br />
subjected.<br />
The retention of <strong>AKD</strong> by cationic polyelectrolytes has<br />
been studied by several other groups (Esser and Ettl<br />
1997; Hasegawa et al. 1997; Isogai 1997a, 1997b). It is<br />
not self-evident that it should be possible to retain<br />
cationic <strong>AKD</strong>-dispersions using cationic polyelectrolytes.<br />
Due to the fact that <strong>AKD</strong>-dispersions usually are<br />
dispersed using a combination of lignosulfonates and<br />
cationic starch, the net cationically charged dispersion<br />
particles have in fact an amphoteric nature. Hence<br />
cationic polyelectrolytes can interact with the negative<br />
sites on the dispersion particles and retain the <strong>AKD</strong>-particles.<br />
As shown in Fig 3, anionic <strong>AKD</strong>-particles are easier<br />
to retain by cationic polyelectrolytes than cationic <strong>AKD</strong>particles<br />
(Johansson and Lindström 2004b). The<br />
appropriate choice of an efficient retention aid system is<br />
crucial, because <strong>AKD</strong> will be subject to hydrolysis when<br />
circulated in the short circulation of a paper mill, as will<br />
be discussed below.<br />
The use of hydrophobic retention aids has also been<br />
practised (Riebeling et al. 1996, 1999) to treat filler so<br />
that the interaction between filler particles and <strong>AKD</strong><br />
could be minimized. Obviously <strong>AKD</strong> cannot react with<br />
fillers and CaCO 3-based fillers promote hydrolysis (see<br />
below).<br />
Pre-flocculation of <strong>AKD</strong> leads to higher <strong>AKD</strong>-retention<br />
(Mattsson et al. 2002), which in itself is beneficial to<br />
<strong>sizing</strong>. Agglomeration is not critical to <strong>sizing</strong> (Johansson<br />
and Lindström 2004b); neither is the particle size<br />
(Petander et al. 1998) because <strong>AKD</strong> spreads over the<br />
fibre surfaces anyhow.<br />
In the practical use of <strong>AKD</strong>, the point of addition is of<br />
course dependent on the wet end system and the addition<br />
order of other chemical adjuvants. As a rule of thumb it is<br />
advantageous to add <strong>AKD</strong> to the high consistency stock<br />
only a short time before dilution takes place in the short<br />
circulation. The <strong>AKD</strong>-particles are deposited at a rapid<br />
rate at high consistency but are subsequently sheared off<br />
the fibre surfaces by the other fibres in a stirred pulp<br />
suspension (Lindström and Söderberg 1986a; Champ and<br />
Ettl 2004). Both high shear and long contact times are<br />
known to reduce <strong>AKD</strong> retention. As a rule, both <strong>AKD</strong>,<br />
Nordic Pulp and Paper Research Journal Vol 23 no. 2/2008 203
Fig 3. a) Retention of cationic <strong>AKD</strong>-particles onto bleached kraft pulps using various cationic polyelectrolytes. b) Retention of anionic <strong>AKD</strong>-particles onto bleached kraft pulp<br />
using various cationic polyelectrolytes (Johansson and Lindström 2003b).<br />
fines and fillers follow the general retention level and<br />
there is little selective retention of certain types of dispersed<br />
material. Anionic dissolved substances in the stock,<br />
such as hemicelluloses and lignin residues, are generally<br />
detrimental to size retention (Lindström and Söderberg<br />
1986c).<br />
Spreading/size migration<br />
The distribution of <strong>AKD</strong>-size on the fibres occurs in the<br />
drying section as discussed above. <strong>AKD</strong> readily spreads<br />
on cellulose, because the cellulose surface is a high-energy<br />
surface. The free energy of spreading, ∆G s of <strong>AKD</strong> on<br />
a cellulose surface can be written:<br />
∆G s = γ(cellulose/<strong>AKD</strong>) + γ(<strong>AKD</strong>) - γ (cellulose) [1]<br />
The surface free energy of <strong>AKD</strong> is 27 mJ/m 2 (Garnier<br />
and Godbout 2000) and the surface free energy of dry<br />
cellulose has been determined to about 57 mJ/m 2 .<br />
(Lundqvist and Ödberg 1997; Luner and Oh 2001). If<br />
γ(cellulose/<strong>AKD</strong>) is small, the conditions for spreading,<br />
∆G s < 0, are fulfilled. For an <strong>AKD</strong> particle trapped in<br />
between a fibre-fibre bond the free energy of spreading,<br />
∆G s = 2γ(cellulose/<strong>AKD</strong>), which is a positive quantity,<br />
because it is associated with the cleavage of a high<br />
energy surface. Hence, <strong>AKD</strong>-particles trapped in between<br />
fibre-fibre bonds cannot spread and cannot react with<br />
cellulose. This phenomenon is the hypothesis for the<br />
limited reaction with cellulose (Lindström and O´Brian<br />
1986b). Spreading has been manifested by several investigators<br />
(Roberts and Garner 1985; Roberts et al. 1985;<br />
Ödberg et al. 1987; Seppänen et al. 2000; Horn 2001;<br />
Shchukarev et al. 2003). The spreading of <strong>AKD</strong> on<br />
cellulose should, however, not be associated with the<br />
common hydrodynamic phenomena of spreading<br />
(Cazabat 1989), which is a very rapid process. Instead, it<br />
has been suggested that spreading takes place by the<br />
surface diffusion of an autophobic monolayer of <strong>AKD</strong> on<br />
cellulose (Seppänen et al. 2000), which is a slower<br />
phenomena than hydrodynamic spreading. The apparent<br />
surface diffusion coefficient of <strong>AKD</strong> on cellulose have<br />
been calculated to around 10 -11 m 2 /s at 50-80°C<br />
204 Nordic Pulp and Paper Research Journal Vol 23 no. 2/2008<br />
(Seppänen et al. 2000; Shchukarev et al. 2003). As <strong>AKD</strong><strong>sizing</strong><br />
particles typically have the dimension of the order<br />
of a micrometer, such a droplet would on a cellulose<br />
surface spread within 10 sec, using this diffusion<br />
coefficient. The time of reaction is typically of the order<br />
of at least 5 minutes, hence spreading/surface diffusion is<br />
not the rate-determining step in <strong>sizing</strong>.<br />
More recent investigations have, however, challenged<br />
the traditional spreading view. Thus, Garnier et al<br />
(Garnier et al. 1998, 1999; Garnier and Godbout 2000)<br />
find that <strong>AKD</strong> only wets, but not spreads, on cellulose<br />
and claim vapour phase <strong>sizing</strong> as a <strong>sizing</strong> mechanism for<br />
<strong>AKD</strong>. Later investigations show vapour phase type of<br />
<strong>sizing</strong> with ASA but not with <strong>AKD</strong> at drying temperatures<br />
below 100°C. (Yu and Garnier 2002). A capillary<br />
wicking mechanism is also suggested by Garnier and<br />
Godbout (2000). One possibility is that the reservoir in<br />
the de Gennes type of experiments conducted by Garnier<br />
was simply too small. In this type of experiment a drop of<br />
the <strong>sizing</strong> agent is applied to a thread (cellulosic) and the<br />
contact angle is observed. A pre-requisite is that there is a<br />
sufficient surface area available for spreading to occur,<br />
otherwise spreading will stop when the available surface<br />
area is saturated with the monomolecular layer of the<br />
<strong>sizing</strong> agent, spreading stops and a finite contact angle is<br />
observed.<br />
Shen et al. also in a number of papers (Shen et al.<br />
2001a, 2001b; Shen and Parker 2003) claim that the<br />
classical view has been proven wrong and advocate<br />
mechanisms along the lines of Garnier and co-workers.<br />
These authors also claim there is no reaction between<br />
cellulose and <strong>AKD</strong>. Later investigations from this group<br />
(Hutton and Chen 2004), however, also show vapour<br />
phase <strong>sizing</strong> to be an insignificant phenomenon in<br />
practical papermaking <strong>sizing</strong>. The group has now (Shen<br />
and Parker 2003; Shen et al. 2005) adopted the autophobic<br />
precursor mechanism suggested by Seppänen et<br />
al. (2000).<br />
In our laboratory, a simple experiment was conducted<br />
to show that spreading does not take place in the gasphase<br />
and that spreading easily takes place and over<br />
macroscopic dimensions. Basically, two sets of experi-
ments were conducted in additon to a reference sheet,<br />
# 1 (Table 1). In the first experiment (# 2, Table 1) a sized<br />
sheet was couched (after wet-pressing) between two<br />
unsized sheets. This pack of sheets was then dried at<br />
90ºC and the size retention and extent of reaction was<br />
determined using radioactive labelled <strong>AKD</strong> as described<br />
in our previous publications on <strong>AKD</strong>, e.g., Lindström and<br />
Söderberg (1986a). After drying the stack of sheet was<br />
simply delaminated and the total and reacted amount of<br />
<strong>AKD</strong> could be determined. In the second experiment<br />
(# 3, Table 1) a thin polytetrafluoroethylene (PTFE) wire<br />
(allowing gas-phase transfer through the wire) was<br />
placed between the sheets before drying.<br />
These experiments showed two things: <strong>AKD</strong> could<br />
spread across the whole stack of sheets, although the<br />
mid-sheet still had the highest amount of <strong>AKD</strong>. In the<br />
experiment using the PTFE wire, no transfer between the<br />
sheets took place and consequently there was no gasphase<br />
spreading across the pile of sheets.<br />
Table 1.Results from <strong>AKD</strong>-transfer experiments. <strong>AKD</strong>-sized sheets (2.2 and 3.2)<br />
were stacked between unsized sheets (sheets: 2.1, 2.3 and 3.1, 3.3) after wet<br />
pressing and subsequently dried at 90ºC (series # 2) for 10 min. After drying, the<br />
sheets were post cured at 110ºC for 10 min. The reference sheet was dried at<br />
90ºC for 10 min and then at 110ºC for 10 min. Experiment # 3 was conducted as<br />
2.1-2.3 but a thin polytetrafluoroethylene wire was inserted between the sheets<br />
before couching to prevent size migration but allow for possible gas phase transfer<br />
of <strong>AKD</strong>. 0.1% C-PAM (D.S. = 20 mole % cationic groups) was used as a<br />
retention aid in the experiments. n.d. = not determined. Data not published previously.<br />
Sheet Content <strong>AKD</strong> <strong>AKD</strong> <strong>AKD</strong><br />
in sample retention reacted amount<br />
Exp. #/Sheet type mg/g % mg/g %<br />
1.1 <strong>AKD</strong> (1.5 mg/g) 1.15 76.7 0.46 40.0<br />
(Reference) +C-PAM<br />
2.1 no <strong>AKD</strong> 0.16 0.07 43.8<br />
2.2 <strong>AKD</strong> (1.5 mg/g) 0.88 80.0 0.38 43.2<br />
+C-PAM<br />
2.3 no <strong>AKD</strong> 0.16 0.06 37.5<br />
3.1 no <strong>AKD</strong> [<strong>AKD</strong>] and the equation reads:<br />
dx<br />
dt<br />
( )<br />
= K [<strong>AKD</strong>] = K [<strong>AKD</strong>] = K a− x<br />
[3]<br />
av<br />
1 2<br />
where a is the maximum amount of reacted <strong>AKD</strong> and<br />
consequently [<strong>AKD</strong>] av, the available amount for reaction<br />
should be = a <strong>–</strong> x. Integration from t = 0 to t leads to:<br />
ln a<br />
a x Kt = [4]<br />
−<br />
Thus, if the quantity ln(a/(a <strong>–</strong> x)) is plotted versus time,<br />
straight lines should be obtained and the reaction follows<br />
what could be called a pseudo first order reaction. This is<br />
illustrated in Fig 4a, which shows such graphs for the<br />
reaction of <strong>AKD</strong> onto a bleached kraft pulp at different<br />
pH-values. It is also shown that the straight lines intersect<br />
the x-axis at a common point in time, independent of pH.<br />
This is the time interval required for drying of the sheet<br />
to a sufficiently high solids content for the <strong>AKD</strong> to begin<br />
spreading. The spreading reaction as such is much faster<br />
than the drying stage, which is independent of the pHvalue<br />
as the rate of drying is independent on pH for this<br />
type of pulp. If the same experiment then is performed at<br />
different pH-values, the corresponding values between<br />
the reaction rate constant K at different pH-values and<br />
temperatures can be obtained and the Arrhenius activation<br />
energies for the <strong>AKD</strong>/cellulose reaction can be<br />
calculated from the graphs in Fig 4b.<br />
The calculated activation energies for the reaction<br />
between cellulose and <strong>AKD</strong> can be calculated from<br />
Fig 4b to be 72 kJ/mole at pH 4 to 46 kJ/mole at pH 10<br />
(Lindström and O´Brian 1986b). As expected the activa-<br />
Fig 4. (a) The quantity In a/(a-x) versus reaction time, t, where a is the maximum<br />
reacted <strong>AKD</strong> and x is the reacted amount of <strong>AKD</strong> at different pH-values. (b) The<br />
reaction rate constant K, from Eq 2, versus 1/T, where T is the absolute temperature.<br />
(Bleached softwood kraft pulp). (Lindström and O´Brian 1986b).<br />
Nordic Pulp and Paper Research Journal Vol 23 no. 2/2008 205
tion energy decreases for the nucleophilic reaction the<br />
higher the pH.<br />
Sizing accelerators<br />
The reaction between <strong>AKD</strong> and cellulose is, however<br />
slow and <strong>sizing</strong> accelerators are invariably used in commercial<br />
operations, whereby the reaction rate easily can<br />
be increased 20 times. The most important <strong>sizing</strong> accelerators<br />
are:<br />
· HCO-3<br />
· Basic polymers with amine groups<br />
The HCO -<br />
3-ion has a unique ability to catalyse the reaction<br />
between <strong>AKD</strong> and cellulose. HCO -<br />
3- -ions are often<br />
inherently present in natural systems, e.g. when CaCO3 is<br />
used as filler, but it is also a general practice to add<br />
NaHCO3 to increase the alkalinity of the stock.<br />
Fig 5a shows how the reaction of <strong>AKD</strong> in the presence<br />
of NaHCO3 is catalysed. The acceleration has been<br />
quantified using the above reaction rate expression. A<br />
further analysis of the so obtained reaction rate constant<br />
reveals that the reaction rate is proportional also to<br />
[HCO -<br />
3]. Hence, the reaction follows the equation:<br />
dx<br />
dt K<br />
-<br />
= [cellulose] ⋅[<strong>AKD</strong>] ⋅[HCO<br />
]<br />
0 3<br />
This equation clearly suggests that there is a trimolecular<br />
reaction between cellulose, <strong>AKD</strong> and HCO 3 taking place.<br />
The suggested mechanism of catalysis is given in Fig 5b.<br />
Polymeric amines (e.g. PAMAM-EPI resins) having<br />
amino groups with a free electron pair are classic <strong>sizing</strong><br />
accelerators for <strong>AKD</strong> (Lindström and Söderberg 1986d;<br />
Thorn et al. 1993; Cooper et al. 1995). Several different<br />
Fig 5. (a) The quantity ln a/(a-x) versus reaction time, t, where a is the maximum reacted <strong>AKD</strong> and x is the reacted<br />
amount of <strong>AKD</strong> at different bulk concentrations of NaHCO 3. (b) A suggested mechanism of catalysis with NaHCO 3.<br />
(Lindström and Söderberg 1986d).<br />
206 Nordic Pulp and Paper Research Journal Vol 23 no. 2/2008<br />
[5]<br />
Fig 6. Synergistic effects between HCO -<br />
3and PAMAM-EPI resin on the reaction<br />
rate constant, K, when simultaneously used in <strong>AKD</strong>-<strong>sizing</strong>. ❍ = <strong>sizing</strong> in deionized<br />
water at different pH-values. ●<strong>–</strong> = <strong>sizing</strong> in the presence of 0.1% PAMAM in deionized<br />
water (Lindström and Söderberg 1986a).<br />
types of condensation polymers have been investigated<br />
over the years and occur in commercial formulations. The<br />
polymeric <strong>sizing</strong> accelerators are often either added to the<br />
<strong>AKD</strong>-dispersion (”rapid curing dispersion”) or used separately<br />
as combined accelerator and retention aid. Moreover<br />
the effects of HCO -<br />
3 are synergistic, as shown in Fig 6.<br />
<strong>AKD</strong>-hydrolysis<br />
<strong>AKD</strong> can also react with water forming the β-keto acid,<br />
which spontaneously decarboxylates forming the corresponding<br />
ketone, as shown in Fig 1. <strong>AKD</strong> is, however,<br />
stable at room temperature at acidic pH-values, allowing<br />
storage at the time scale of months.<br />
It is well known that <strong>AKD</strong> can be<br />
the subject to alkaline hydrolysis. It<br />
is known that CaCO 3 may induce<br />
hydrolysis, particularly precipitated<br />
calcium carbonates (PCC) having<br />
higher pH-values due to residual<br />
alkali (Colasurdo and Thorn 1992;<br />
Novak and Rende 1993; Bottorff<br />
1994; Jiang and Deng 2000). As<br />
<strong>AKD</strong> is strongly adsorbed onto PCC<br />
and gronud calcium carbonate<br />
(GCC), it is advantageous to preadsorb<br />
cationic polymers onto carbonate<br />
fillers in order to block <strong>AKD</strong>deposition<br />
(Esser and Ettl 1997).<br />
There have, however, been few systematic<br />
and quantitative investigations<br />
in this field.<br />
In a recent investigation from this<br />
lab, the hydrolysis was studied using<br />
14 C-labelled <strong>AKD</strong> (Lindström and<br />
Glad-Nordmark 2007b). It was<br />
found that NaHCO 3 catalyzed the<br />
hydrolysis reaction, as shown in
Fig 7a. The mechanism is probably<br />
analogous to the mechanism of the<br />
catalysis of the cellulose-<strong>AKD</strong><br />
reaction shown in Fig 7b, because<br />
analysis of the reaction kinetics of the<br />
reaction pointed to a trimolecular<br />
reaction mechanism. In this investigation<br />
it was also found that divalent<br />
metal ions (Ca 2+ , Mg 2+ , Ba 2+ ) catalyzed<br />
the hydrolysis reaction (see Fig 8a),<br />
whereas the anion or monovalent electrolytes<br />
had no effects. It is most likely<br />
that the divalent cation functions<br />
as a Lewis type of catalyst (Schinzer<br />
1986), the mechanism of which is<br />
shown in Fig 8b. Hydrolysis only<br />
takes place at high temperatures and<br />
during standard laboratory forming<br />
and drying conditions hydrolysis is<br />
insignificant.<br />
The hydrolysis product of <strong>AKD</strong>, the<br />
ketone in Fig 1, has a slight positive<br />
effect on <strong>sizing</strong>, provided there is already<br />
some reacted <strong>AKD</strong> present in the<br />
paper (Lindström and Söderberg<br />
1986a).<br />
Amount of <strong>AKD</strong> required for <strong>sizing</strong><br />
The required amount of <strong>AKD</strong> for<br />
<strong>sizing</strong> for a given pulp depends on a number of factors<br />
and is also linked to a number of wet-end factors. Critical<br />
is the retention of the size and the extent of reaction<br />
together with the nature of the pulp furnish together with<br />
the structure of the sheet.<br />
Retention is critical, as recirculated size can be subject<br />
to hydrolysis. The extent of reaction depends on the<br />
drying conditions together with the presence of size<br />
accelerators. The extent of reaction for <strong>AKD</strong>-sizes is<br />
dependent on the fraction of fibre surface exposed to the<br />
air phase, because it is only size on free surfaces, which<br />
can spread and potentially react. <strong>AKD</strong> spreads all over<br />
the sheet and <strong>sizing</strong> with <strong>AKD</strong> is not dependent on size<br />
agglomeration, which is critical for instance with<br />
soap/alum <strong>sizing</strong>.<br />
The extent of reaction can be quite high under ideal<br />
laboratory conditions, but under practical mill conditions<br />
it is often in the range between 15-40%.<br />
In an early publication (Lindström and Söderberg 1986a)<br />
the amount required for <strong>sizing</strong> was investigated for<br />
various extractive free pulps. Defining the onset of full<br />
<strong>sizing</strong> as Cobb 60 = 25 g/m 2 , the required amount of <strong>AKD</strong><br />
necessary for <strong>sizing</strong> is directly proportional to the BET<br />
surface area of the papers as shown in Fig 9. By using<br />
surface balance measurements to determine the collapse<br />
value of the monolayer the planar oriented monolayer<br />
surface area of <strong>AKD</strong> can be calculated to 24 Å 2 per molecule.<br />
It is important to emphasize that <strong>sizing</strong> is uniquely<br />
defined by the reacted amount of <strong>AKD</strong> (Lindström and<br />
Söderberg 1986a; Johansson and Lindström 2004b).<br />
Using this surface area it can be calculated from Fig 9<br />
Fig 7. (a) The effect of NaHCO 3 on <strong>AKD</strong> hydrolysis, (b) Suggested hydrolysis mechanism.<br />
Fig 8. (a) The effect of CaCl 2 on <strong>AKD</strong> hydrolysis, (b) Suggested hydrolysis mechanism by Ca 2+ (Lewis acid catalysis).<br />
(Lindström and Glad-Nordmark, 2007b).<br />
Fig 9.The required amount of reacted <strong>AKD</strong>, necessary to obtain Cobb 60 = 25 g/m 2<br />
for various pulps (extractives free).<br />
that it is only necessary to cover 4% of the total surface<br />
area for a given pulp in order to obtain <strong>sizing</strong>. In practice<br />
the sweeping action of the fatty acid chains will, of course,<br />
cover a much larger area. Ström and co-workers<br />
(Ström et al. 1992) determined the required surface coverage<br />
to 15% using ESCA. The electrons from carbon<br />
atoms emitted in the ESCA analysis partly come from<br />
carbon atoms underneath the fatty acid layer, so the surface<br />
coverage values should not be directly compared.<br />
Nordic Pulp and Paper Research Journal Vol 23 no. 2/2008 207
Practical aspects and comparisons between different<br />
<strong>sizing</strong> agents<br />
In Table 2, some major aspects of different <strong>sizing</strong> agents<br />
have been compared. Rosin <strong>sizing</strong> is basically restricted<br />
to acidic pH-values and so both <strong>AKD</strong> and ASA are basically<br />
restricted to neutral/alkaline papermaking, although<br />
ASA may be used at slightly acidic pH-values (Roberts<br />
1997). Electrolytes are basically negative for all <strong>sizing</strong><br />
agents because they interfere with retention aid use and<br />
decrease their affinity to fibre surfaces. Divalent metal<br />
ions are devastating for rosin <strong>sizing</strong> because they compete<br />
with aluminium species in the complexation process<br />
and for <strong>AKD</strong> <strong>sizing</strong>, because they catalyze the <strong>AKD</strong><br />
hydrolysis reaction. Fines/fillers have a large surface area<br />
consuming the <strong>sizing</strong> agent. Fillers can generally not be<br />
sized because reactive sizes do not react with fillers and<br />
the aluminium resinate (rosin-aluminium complex)<br />
cannot be anchored to the filler.<br />
The hydrolysis product of ASA can complex with Ca 2+ -<br />
ions so it may in principle be able to use for slack <strong>sizing</strong><br />
of calcium carbonates (Roberts 1997).<br />
Dissolved anionic substances are in almost all cases<br />
detrimental to size retention. The charged groups on the<br />
fibres are necessary for rosin <strong>sizing</strong>, and the higher the<br />
carboxyl group content, the easier is is to size the pulp<br />
with rosin. For <strong>AKD</strong>/ASA sizes, the charged groups are<br />
in general beneficial for retention processes. Acidic<br />
extractives may in principle be used as <strong>sizing</strong> agents in<br />
the presence of alum and non-ionic extractives contribute<br />
only slightly to <strong>sizing</strong>. Extractives of the fatty acid types<br />
are detrimental to <strong>AKD</strong>-<strong>sizing</strong>, because they interfere<br />
with retention and with the <strong>AKD</strong>-reaction (Lindström<br />
and Söderberg 1986c; Lidén and Tollander 2004; Åvitsland<br />
et al. 2006), but have been found not to interfere<br />
with spreading (Mattsson et al. 2003). Extractives have in<br />
general a slight positive effect on ASA-<strong>sizing</strong> because<br />
aluminium salts are used in conjunction with ASA<strong>sizing</strong>.<br />
The <strong>AKD</strong>-hydrolysis product has a slight positive<br />
effect on <strong>AKD</strong>-<strong>sizing</strong>, but is detrimental for ASA-<strong>sizing</strong><br />
because the diacid is amphiphatic and will overturn in the<br />
presence of aqueous liquids in contact with the sized<br />
paper. Aluminium salts are, of course, necessary for rosin<br />
<strong>sizing</strong>, but interfere with <strong>AKD</strong>-<strong>sizing</strong>, if they contribute<br />
sufficient acidity to decrease the HCO -<br />
3 content of the<br />
water. <strong>AKD</strong> can also be used in conjunction with rosin<br />
<strong>sizing</strong> for liquid packaging (Walkden 1991), but there is<br />
no simple mechanistic explanation for this synergism.<br />
Table 2. Comparison between different <strong>sizing</strong> agents.<br />
Rosin <strong>AKD</strong> ASA<br />
pH 4.2-5.0 7-8.5 5-8.5<br />
Electrolytes - - - - -<br />
Fines/Fillers - - -<br />
Dissolved an. substances - - - - - -<br />
Fibre-COOH + + + +<br />
Extractives + - - (+)<br />
Hydrolysis products irrelevant (+) - -<br />
Aluminium sulfate + + +<br />
Stock temperature - - - -<br />
Lactic acid resistance - + -<br />
208 Nordic Pulp and Paper Research Journal Vol 23 no. 2/2008<br />
Stock temperature has a strongly negative effect, particularly<br />
on rosin soap <strong>sizing</strong>, but also on dispersion <strong>sizing</strong>. A<br />
higher temperature leads to aggregation of precipitated<br />
aluminum resinates and oxolation of aluminium species<br />
making them loose some of their cationic charge characteristics.<br />
For synthetic sizes a higher stock temperature<br />
leads to a higher rate of hydrolysis of non-retained size.<br />
Neither rosin sizes nor ASA-sizes can protect paper<br />
against liquids containing strongly coordinating species<br />
like lactic acid<br />
Acknowledgement:<br />
Veronica Sundling is acknowledged for editing the text.<br />
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Manuscript received October 8, 2007<br />
Accepted March 16, 2008<br />
Nordic Pulp and Paper Research Journal Vol 23 no. 2/2008 209